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Finding the Fourth Proportional to 827,539.24, 1,142,004.90 and 469,843.24

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Solution

The fourth proportional to 827,539.24, 1,142,004.90 and 469,843.24 is: 648,384.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    827,539.24 : 1,142,004.90 = 469,843.24 : x
  2. Step 2: Convert to fraction form
    827,539.24/1,142,004.90 = 469,843.24/x
  3. Step 3: Cross multiply
    827,539.24x = 1,142,004.90 × 469,843.24
  4. Step 4: Simplify right side
    827,539.24x = 536,563,282,311.88
  5. Step 5: Solve for x
    x = 536,563,282,311.88/827,539.24
  6. Step 6: Final answer
    x = 648,384.10

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.